Why would I expect that? Because of all the "sky is falling" rhetoric. I don't expect that to mean the sky is falling over the next 10,000 years; I expect it to mean that the sky is falling now.
[Edit: Note that I am not saying that this is good news - just that it is considerably less bad than I expected.]
10 000 years is a lot of time. Compared to other climate issues, with consequences expected in decades, this deserves at best a "cool, we'll fix that in a century or two, if technological civilization still exists by that time".
On the other hand, I do agree with your practical assessment:
> "cool, we'll fix that in a century or two, if technological civilization still exists by that time".
Because, if for no other reason, it probably won't.
And there's also the fact that it's a human impact that can't likely be mitigated in any other way than collapse of the human population.
Based on what?